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Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
National Nanotechnology Infrastructure Network
Size and Scale – Learning about Measurement
Can you visualize one billionth of a meter? It's not easy to understand the scale of a nanometer. Learners use a hands-on lesson to develop an understanding of the size of a nanometer in comparison to common objects. They walk away with...
Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Teach Engineering
Light Intensity Lab
Let there be light. The last installment of a seven-part series has pupils conduct an experiment on light attenuation through different numbers of transparency sheets. They then relate the results back to how X-rays measure bone density.
Wolfram Research
Wolfram Math World: Common Logarithm
This MathWorld site gives two and three dimensional graph representations of the common logarithmic function, explains its notation, and shows how to represent a common logarithm as a natural logarithm. This site contains numerous...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Common Logarithms
Fourteen problems present a variety of practice working with common logarithms. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Logarithms
Here is a site that clearly and thoroughly explains logarithms from the definition through the properties. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Paul Dawkins
Paul's Online Notes: Logarithmic Functions Practice Problems
In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...
Interactive Mathematics
Interactive Mathematics: Logarithms to Base 10
A short tutorial on common logarithms to base 10. Good example exercises.
Math Medics
S.o.s. Math: Properties of Logarithms
Site provides the many properties of logarithms, including common and natural logarithms. Also gives examples and formulas for each.
Interactive Mathematics
Interactive Mathematics: Logarithms to Base 10
Learn how to calculate logarithms (to base 10) and antilogarithms with this simple demonstration.
Other
Math Mistakes: Common Algebra Mistakes
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...
Math2
Math 2: Exponential Identities and Logarithms
Exponential identities and logarithms that are commonly used are listed on this page.
Math2
Math 2: Exponential Identities and Logarithms
Exponential identities and logarithms that are commonly used are listed on this page.
Paul Dawkins
Paul's Online Notes: Calculus I: Review
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
Purple Math
Purplemath: Algebra Resources
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
Math Medics
S.o.s. Math: Solving Equations
This tutorial explains how to solve a variety of equations, from simple to complex, and gives examples and solutions. Students are asked to solve for x before looking at a solution.
Texas Instruments
Texas Instruments: Linear and Quadratic Approximations
In this activity, students explore the linear and quadratic approximations of a logarithmic function and find properties the functions have in common.
Paul Dawkins
Paul's Online Notes: Algebra Cheat Sheet [Pdf]
An algebra "cheat sheet" to use as a reference when completing algebra homework. Lists basic facts, properties, operations, formulas, and functions, as well as common errors.